Name
Abstract | ||
|---|---|---|
Let A=Fq[t] denote the ring of polynomials over the finite field Fq. We denote by e a certain non-trivial character of the field of formal power series in terms of 1/t over Fq. For a monic g∈A and a polynomial G(x1,…,xd)∈A[x1,…,xd], we define S(G;g)=∑xe(G(x)/g) where x runs over (A/(g))d. In this paper, we prove that if G(x1,…,xd) is a homogeneous polynomial of degree k and if the g.c.d. of g and the coefficients of G is 1, then S(G;g)≪〈g〉d−12k+ϵ, where 〈g〉=qdegg and ϵ is a small positive constant. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.ffa.2011.06.003 | Finite Fields and Their Applications |
Keywords | Field | DocType |
11T23,11T55 | Discrete mathematics,Combinatorics,Finite field,Exponential function,Algebra,Polynomial,Formal power series,Monic polynomial,Homogeneous polynomial,Mathematics | Journal |
Volume | Issue | ISSN |
18 | 1 | 1071-5797 |
Citations | PageRank | References |
1 | 0.63 | 0 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiaomei Zhao | 1 | 1 | 1.30 |